通过抽象代数知识，求出所有正多面体的旋转群。

Using the knowledge of abstract algebra, the rotation groups of the regular polyhedron are determined.

本文的目的在于利用抽象代数结构来描述抽象数据类型并给出它的数学含义；

The goal of this paper is to specify abstract data type and provide its mathematical meaning by using algebra structure;

这是一个数学的形象化软件用于抽象代数课堂。用户可以交互直观的探究很多的有限组。

Group Explorer is mathematical visualization software for the abstract algebra classroom. Users can explore dozens of finite groups (and morphisms among them) visually and interactively.

在这些日子里，拓扑这个天使和抽象代数这个魔鬼为各自占有每一块数学领域而斗争着。

Hermann Weyl In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual matehmatical domain.